.5=4.1h-2(1.3h-4)

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Solution for .5=4.1h-2(1.3h-4) equation: 


Simplifying
0.5 = 4.1h + -2(1.3h + -4)

Reorder the terms:
0.5 = 4.1h + -2(-4 + 1.3h)
0.5 = 4.1h + (-4 * -2 + 1.3h * -2)
0.5 = 4.1h + (8 + -2.6h)

Reorder the terms:
0.5 = 8 + 4.1h + -2.6h

Combine like terms: 4.1h + -2.6h = 1.5h
0.5 = 8 + 1.5h

Solving
0.5 = 8 + 1.5h

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-1.5h' to each side of the equation.
0.5 + -1.5h = 8 + 1.5h + -1.5h

Combine like terms: 1.5h + -1.5h = 0.0
0.5 + -1.5h = 8 + 0.0
0.5 + -1.5h = 8

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1.5h = 8 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.5h = 8 + -0.5
-1.5h = 8 + -0.5

Combine like terms: 8 + -0.5 = 7.5
-1.5h = 7.5

Divide each side by '-1.5'.
h = -5

Simplifying
h = -5

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